Greetings, Kajal.

I think if you are unlucky enough to get a center where the ID checkers are uptight then they might object to it. Otherwise, they also go through details other than the name - as in Father's name, DOB, etc. So do not worry so much about it at this point. What you can do (for the sake of your peace of mind) is keep another ID proof along with your Aadhar card. If you have any school or college ID with your middle name in it then that would be great but if not then just to clear any doubts about your authenticity keep another ID like license or passport - so as to let them double check all your details from 2 ID cards if they really want to.

Anyways, do not worry so much, it will definitely be fine. Best of luck for your exam.